Least Common Multiple of 4682 and 4688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4682 and 4688 the smallest integer that is 10974608 that is divisible by both numbers.

Least Common Multiple (LCM) of 4682 and 4688 is 10974608.

LCM(4682,4688) = 10974608

LCM of 4682 and 4688

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4682 and 4688

LCM of 4682 and 4688 is 10974608

Least common multiple can be found by multiplying the highest exponent prime factors of 4682 and 4688. First we will calculate the prime factors of 4682 and 4688.

Prime Factorization of 4682


2 4682
2341 2341
1

Prime factors of 4682 are 2,2341. Prime factorization of 4682 in exponential form is:

4682 = 21×23411

Prime Factorization of 4688


2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 4688 are 2,293. Prime factorization of 4688 in exponential form is:

4688 = 24×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 4682 and 4688.

LCM(4682,4688) = 24×2931×23411
LCM(4682,4688) = 10974608

Factors of 4682

List of positive integer factors of 4682 that divides 4682 without a remainder.

1, 2, 2341, 4682

Factors of 4688

List of positive integer factors of 4688 that divides 4688 without a remainder.

1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688

Least Common Multiple of 4682 and 4688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4682 and 4688, than apply into the LCM equation.

GCF(4682,4688) = 2
LCM(4682,4688) = ( 4682 × 4688) / 2
LCM(4682,4688) = 21949216 / 2
LCM(4682,4688) = 10974608

Properties of LCM 4682 and 4688

(i) The LCM of 4688 and 4682 is associative

LCM of 4682 and 4688 = LCM of 4688 and 4682

Related Least Common Multiples of 4682

Related Least Common Multiples of 4688

Frequently Asked Questions on LCM of 4682 and 4688

1. What is the LCM of 4682 and 4688?

Answer: LCM of 4682 and 4688 is 10974608.

2. What are the Factors of 4682?

Answer: Factors of 4682 are 1, 2, 2341, 4682. There are 4 integers that are factors of 4682. The greatest factor of 4682 is 4682.

3. What are the Factors of 4688?

Answer: Factors of 4688 are 1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688. There are 10 integers that are factors of 4688. The greatest factor of 4688 is 4688.

4. How to Find the LCM of 4682 and 4688?

Answer:

Least Common Multiple of 4682 and 4688 = 10974608

Step 1: Find the prime factorization of 4682

4682 = 2 x 2341

Step 2: Find the prime factorization of 4688

4688 = 2 x 2 x 2 x 2 x 293

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 10974608 = 2 x 2 x 2 x 2 x 293 x 2341

Step 4: Therefore, the least common multiple of 4682 and 4688 is 10974608.